60 citations · 677 across the 102 of their papers we have counts for
8 papers · 1 filter
Exact expressions for the number of levels in single-\textit{j} orbits for three, four and five fermions
Michel Poirier, Jean-Christophe Pain
We propose closed-form expressions of the distributions of magnetic quantum number and total angular momentum for three and four fermions in single- orbits. The latter f…
New nickel opacities and their impact on stellar models
A. Hui-Bon-Hoa, J. -C. Pain, O. Richard
The chemical element nickel is of particular interest in stellar physics. In the layers in which the Fe-peak elements dominate the mean opacity (the so-called Z-bump), Ni is the se…
Distribution of the total angular momentum in relativistic configurations
Michel Poirier, Jean-Christophe Pain
This paper is devoted to the analysis of the distribution of the total angular momentum in a relativistic configuration. Using cumulants and generating function formalism this anal…
Closed forms of the Zassenhaus formula
Léonce Dupays, Jean-Christophe Pain
The Zassenhaus formula finds many applications in theoretical physics or mathematics, from fluid dynamics to differential geometry. The non-commutativity of the elements of the alg…
Angular momentum distribution in a relativistic configuration: Magnetic quantum number analysis
Michel Poirier, Jean-Christophe Pain
This paper is devoted to the analysis of the distribution of the total magnetic quantum number in a relativistic subshell with equivalent electrons of momentum . This di…
New sum rules for Wigner 3jm symbols: application to expectation values of hydrogenic ions
Jean-Christophe Pain, Franck Gilleron
We present new sum rules for coefficients, which involve, in addition to the usual weighting factor where is an angular momentum, the quantity w…